Optimal Solution of Nonlinear Equations

Optimal Solution of Nonlinear Equations

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Description

Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analysed here. Several classes of functions are studied with special empahsis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.show more

Product details

  • Hardback | 252 pages
  • 157.48 x 236.22 x 22.86mm | 498.95g
  • Oxford University Press Inc
  • New York, United States
  • English
  • New.
  • numerous line figures
  • 0195106903
  • 9780195106909

Review quote

This book provides an excellent overview of optimal computational methods for the solution of nonlinear equations, for fixed points of contractive and noncontractive mappings, as well as for the topolgical degree ... I believe it is an excellent book, and thus strongly recommend it. * SIAM Review * The value of the book is enhanced by the inclusion of 'annotations' for each chapter, giving the provenance of the various methods and theorems, with references to an extensive bibliography. * The Mathematical Gazette *show more

Table of contents

1. Introduction ; 1.1 Formulation of the Problem ; 1.2 Annotations ; 1.3 Bibliography ; 2. Nonlinear Equations ; 2.1 Univariate Problems ; 2.2 Multivariate Problems ; 2.3 Annotations ; 2.4 Bibliography ; 3. Fixed Points - Contractive ; 3.1 Univariate Problems ; 3.2 Multivariate Problems ; 3.3 Annotations ; 3.4 Bibliography ; 4. Fixed Points - Noncontractives ; 4.1 Univariate Problems ; 4.2 Multivariate Problems ; 4.3 Annotations ; 4.4 Bibliography ; 5. Topological Degree Computation ; 5.1 Two Dimensional Lipschitz Functions ; 5.2 Lipschitz Functions in D-Dimensions ; 5.3 Annotations ; 5.4 Bibliographyshow more